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202401121 = 13292572089
BaseRepresentation
bin11000001000001…
…10010101100001
3112002212001010211
430010012111201
5403303313441
632030054121
75005244506
oct1404062541
9462761124
10202401121
11a4282a5a
125794a341
1332c181a0
141cc494ad
1512b80a81
hexc106561

202401121 has 16 divisors (see below), whose sum is σ = 226472400. Its totient is φ = 179601408.

The previous prime is 202401113. The next prime is 202401131. The reversal of 202401121 is 121104202.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 25644096 + 176757025 = 5064^2 + 13295^2 .

It is not a de Polignac number, because 202401121 - 23 = 202401113 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (202401131) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 95845 + ... + 97933.

It is an arithmetic number, because the mean of its divisors is an integer number (14154525).

Almost surely, 2202401121 is an apocalyptic number.

It is an amenable number.

202401121 is a deficient number, since it is larger than the sum of its proper divisors (24071279).

202401121 is a wasteful number, since it uses less digits than its factorization.

202401121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2388.

The product of its (nonzero) digits is 32, while the sum is 13.

The square root of 202401121 is about 14226.7747926225. The cubic root of 202401121 is about 587.1345508123.

Adding to 202401121 its reverse (121104202), we get a palindrome (323505323).

The spelling of 202401121 in words is "two hundred two million, four hundred one thousand, one hundred twenty-one".

Divisors: 1 13 29 257 377 2089 3341 7453 27157 60581 96889 536873 787553 6979349 15569317 202401121